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Finding the Fourth Proportional to 199,896.30, 299,735.10 and 81,433.80

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Solution

The fourth proportional to 199,896.30, 299,735.10 and 81,433.80 is: 122,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,896.30 : 299,735.10 = 81,433.80 : x
  2. Step 2: Convert to fraction form
    199,896.30/299,735.10 = 81,433.80/x
  3. Step 3: Cross multiply
    199,896.30x = 299,735.10 × 81,433.80
  4. Step 4: Simplify right side
    199,896.30x = 24,408,568,186.38
  5. Step 5: Solve for x
    x = 24,408,568,186.38/199,896.30
  6. Step 6: Final answer
    x = 122,106.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.